Name ___________________ Period _____ Date ____________ 8.G.3-4 Exit Ticket: Dilations Directions: Complete the tasks below. The table below shows the coordinates of βπ ππ and the coordinates of π ′ in βπ ′π′π′. βπ ′π′π is a dilation of βπ ππ with center of dilation at the origin. βRST βπ ′π′π′ π (−2, −3) π(0, 2) π(2, −3) π ′(−6, −9) π′(? , ? ) π′(? , ? ) What is the scale factor? How do you know? On the grid below, draw βπ ππ and βπ ′π′π′. Is the dilation an enlargement or reduction? How do you know? What are the coordinates of π′and π′? Show all your work. Rubric Directions: 1. Read it! 2. Circle where you think your understanding is. 8.G.4: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. Not Yet Almost There! I tried to solve my problems and showed what I tried, but I’m not there yet. Identifies dilations of figures by a given scale factor and transformations. Got it! Understand that any combination of rotations, reflections, translations, and dilations will result in a similar figure. Describe the sequence of transformations needed to show how one figure is similar to another. Perform transformations using physical models, transparencies, or geometry software. (Rigid motion transformations will be addressed in Secondary Mathematics I.) Understand similarity using physical models, transparencies, or geometry software. (Properties of dilations given by a center and a scale factor will be addressed in Secondary Mathematics II). π Going Deeper Recognizes that a dilation with a scale factor of 1 leads to congruence. 1 Reflection Directions: Answer each question in complete sentences, then rate your EI skills. 1. What went well today? 2. EQ Summary: How do I describe the properties of dilations? 3. IQ: What do you still not understand? 4. EiS: Rate yourself on your emotional intelligence skills (EiS). Self Awareness I understand how my thoughts, words, and actions impacted my learning. 1 2 3 4 Self Management I chose thoughts, words, and actions that helped me learn. 1 2 3 4 Social Awareness I understand how my thoughts, words, and actions impacted others' learning. Relationship Skills I chose thoughts, words, and actions that helped others learn. Responsible Decision Making I made choices I needed to, even when I didn't want to, so my classmates and I could learn. 1 1 1 2 3 4 2 3 4 2 3 Extra Work Space 2 4